What is the inverse of f(x)=2x^2+24x+76 ?

The inverse of f(x)=2x^2+24x+76 is (-24+sqrt(8x-32))/4 ,(-24-sqrt(8x-32))/4

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inverse of f(x)=2x^2+24x+76

inverse

f (x) = 2 x^{2} + 24 x + 76

\frac{- 24 + 8 x - 32}{4}, \frac{- 24 - 8 x - 32}{4}

Solution steps

y = 2 x^{2} + 24 x + 76

Replace

x

with

y

x = 2 y^{2} + 24 y + 76

Solve for

y, x = 2 y^{2} + 24 y + 76

\frac{- 24 + 8 x - 32}{4}, \frac{- 24 - 8 x - 32}{4}

f (x) = x^{2} - 4 + 1

f (x) = \frac{5 x - 15}{2 x - 9}

(- 4 - 7), (- 4 - 6)

f (x) = (x - 5)^{2}

f (x) = - - x^{2} - 6 x

What is the inverse of f(x)=2x^2+24x+76 ?
The inverse of f(x)=2x^2+24x+76 is (-24+sqrt(8x-32))/4 ,(-24-sqrt(8x-32))/4